How to create flat circular spiral made from quads?
With your description, cubes with inset Faces, an Array modifier and a curve modifier is a good option. you might need to explain a bit more about your final goal.

using a cube with inset faces, adding an array modifier and curves modifier, then, inside the curves modifier you need to add an Archemedial Spiral (Shift + A &gt; Curves &gt; Spiral &gt;Archemedial)